A related discussion,
cataract surgery was started.
Sorry, it wasn't my intention to infer that the "fix" for this was a cosmetic lid surgery. It was a suggestion the procedure of an Orbital Decompression COULD be an option for Thyroid Eye Disease.
Maybe better described here:
http://www.eyemdlink.com/EyeProcedure.asp?EyeProcedureID=36
Which of course, would give a better appearance to the eye itself.
Not to mention, the health of the eye & vision itself.
I posted about this issue not long ago, mine is nothing as bad as yours. I researched this a lot.
What I found, even when your disease is under control, your eyes can still be affected, and may not resolve. You need to see a Opthamolgist that specializes in Thyroid Eye Disease. There is surgery you can have to fix this. It is called Orbital Decompression. Here is a site that describes it:
http://www.texaseyeplastics.com/thyroid_eye_disease.htm
Hope this helps.
A CT or MRI of the orbits likely has already been done. Graves can cause eye problems in only one eye, but a mass behind the eye must be considered (hence the CT or MRI).
The usual thyroid labs do not often detect the abnormality that is the cause of thyroid eye disease -- the antibody that needs to be checked is TRAB (aka TSI & TBII - the two tests together).
You need to work with an eye specialist with an expertise in thyroid eye problems -- esp if surgery is being considered. Lid surgery is the last (not first) surgical step in the treatment of most Graves Eye disease.